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Paper   IPM / M / 16968
School of Mathematics
  Title:   Variational inequality over the set of common solutions of a system of bilevel variational inequality problem with applications
  Author(s):  Mohammad Eslamian
  Status:   Published
  Journal: RACSAM
  Year:  2022
  Pages:   DOI: 10.1007/s13398-021-01193-2
  Supported by:  IPM
  Abstract:
In this paper, we study variational inequality problem over the set of common solutions of a system of bilevel variational inequality problem. We present a new and efficient iterative method for solving this problem and establish its strong convergence. As applications, we use our algorithm for solving the multiple set split variational inequality problem, the hierarchical variational inequality problem, the bilevel variational inequality problem and hierarchical minimization problem.

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